Answer:
Option C is right answer.
Step-by-step explanation:
Given two equations as
2y + 4x = 18
2y – 3x = 4
We have to use substitution method.
From first equation find the value of y.
2y = 18-4x
Or y = 9-2x
Substitute this in II equation.
2(9-2x)-3x =4
18-4x-3x =4
-7x = 4-18 = -14
Divide by -7
x =2
Since y = 9-2x, substitute x=2 to get y
y = 9-2(2) = 5
Answer is (2,5)
To verify:
Substitute (2,5) in the given two equations to check.
2(5)+4(2) = 18 is right
2(5)-3(2) = 4 is also right.
Hence solution is (2,5)
Answer:
-7/4
Step-by-step explanation:
8x=-14
X=-14/8
X=-7/4
Answer:
Chisquare goodness of fit test
Step-by-step explanation:
Given the data:
Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26
The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;
Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.
Answer:
Step-by-step explanation:
Let the number of jars is x.
<u>80 liters distributed, each jar has:</u>
<u>Redistribution with 4 less jars, each jar now has:</u>
<u>Each jar has now twice the amount:</u>
- 80/x*2 = 80/(x - 4)
- 2/x = 1/(x - 4)
- 2(x - 4) = x
- 2x - 8 = x
- x = 8
She prepared 8 jars at the start